Asymptotic Behaviour of Parameter Ideals in Generalized Cohen-Macaulay Modules
| dc.creator | Cuong, Nguyen Tu | |
| dc.creator | Truong, Hoang Le | |
| dc.date | 2007-09-11 | |
| dc.date | 2007-09-13 | |
| dc.date.accessioned | 2026-07-07T08:28:59Z | |
| dc.date.available | 2026-07-07T08:28:59Z | |
| dc.description | The purpose of this paper is to give affirmative answers to two open questions as follows. Let $(R, \m)$ be a generalized Cohen-Macaulay Noetherian local ring. Both questions, the first question was raised by M. Rogers \cite {R} and the second one is due to S. Goto and H. Sakurai \cite {GS1}, ask whether for every parameter ideal $\q$ contained in a high enough power of the maximal ideal $\m $ the following statements are true: (1) The index of reducibility $N_R(\q;R)$ is independent of the choice of $\q$; and (2) $I^2=\q I$, where $I=\q:_R\m$. | |
| dc.description | 12 pages | |
| dc.identifier | https://arxiv.org/abs/0709.1537 | |
| dc.identifier | http://arxiv.org/abs/0709.1537 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/137810 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13H45; 13H10 | |
| dc.title | Asymptotic Behaviour of Parameter Ideals in Generalized Cohen-Macaulay Modules | |
| dc.type | text |